A046031 Digits are cubes.

0, 1, 8, 10, 11, 18, 80, 81, 88, 100, 101, 108, 110, 111, 118, 180, 181, 188, 800, 801, 808, 810, 811, 818, 880, 881, 888, 1000, 1001, 1008, 1010, 1011, 1018, 1080, 1081, 1088, 1100, 1101, 1108, 1110, 1111, 1118, 1180, 1181, 1188, 1800, 1801, 1808

Offset: 0

Author

Eric W. Weisstein

Keywords

• nonn
• base

Comments

This is also a sequence where the digits of each integer are both horizontally and vertically symmetrical. - Philip Mizzi, May 24 2014

Numbers with no prime or semiprime digits. - Wesley Ivan Hurt, Jan 17 2016

Because the digits of each term can only be 0, 1 or 8, each number in the sequence is both mirror ambigrammatic and rotationally ambigrammatic. - Philip Mizzi, Jan 01 2021

Links

• Bruno Berselli, Table of n, a(n) for n = 0..1000
• Eric Weisstein's World of Mathematics, Smarandache Sequences.

Programs

Magma

[n: n in [0..2000] | forall{d: d in Intseq(n) | d in [0,1,8]}]; // Bruno Berselli, Jan 10 2013

Maple

M[1]:= [0,1,8]:
for n from 2 to 4 do M[n]:= map(t -> (10*t,10*t+1, 10*t+8), M[n-1]) od:
M[4]; # Robert Israel, Jan 18 2016

Formula

G.f. G(x) satisfies G(x) = 10*(1+x+x^2)*G(x^3)+x*(1+8*x)/(1-x^3). - Robert Israel, Jan 18 2016